Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Excessive kernels and Revuz measures
Download PDF
Download PDF
  • Published: June 2000

Excessive kernels and Revuz measures

  • Lucian Beznea1 &
  • Nicu Boboc2 

Probability Theory and Related Fields volume 117, pages 267–288 (2000)Cite this article

  • 88 Accesses

  • 11 Citations

  • Metrics details

Abstract.

We consider a proper submarkovian resolvent of kernels on a Lusin measurable space and a given excessive measure ξ. With every quasi bounded excessive function we associate an excessive kernel and the corresponding Revuz measure. Every finite measure charging no ξ–polar set is such a Revuz measure, provided the hypothesis (B) of Hunt holds. Under a weak duality hypothesis, we prove the Revuz formula and characterize the quasi boundedness and the regularity in terms of Revuz measures. We improve results of Azéma [2] and Getoor and Sharpe [20] for the natural additive functionals of a Borel right process.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania. e-mail: beznea@stoilow.imar.ro, , , , , , RO

    Lucian Beznea

  2. Faculty of Mathematics, University of Bucharest, str. Academiei 14, RO-70109 Bucharest, Romania, , , , , , RO

    Nicu Boboc

Authors
  1. Lucian Beznea
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nicu Boboc
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 30 April 1997 / Revised version: 17 September 1999 /¶Published online: 11 April 2000

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Beznea, L., Boboc, N. Excessive kernels and Revuz measures. Probab Theory Relat Fields 117, 267–288 (2000). https://doi.org/10.1007/s004400050007

Download citation

  • Issue Date: June 2000

  • DOI: https://doi.org/10.1007/s004400050007

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Hunt
  • Measurable Space
  • Additive Functional
  • Finite Measure
  • Excessive Function
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature